Answer:
(1) The required ratio of spirit to varnish is 1:3.
(2) You need 80 ml of mineral spirit.
(3) The ratio of tapestries' heights to width is 3:2.
Step-by-step explanation:
(1) If you need to mix 25% mineral spirit to the varnish, then the solution would contain 25% mineral spirit and 75% varnish.
So, [tex]\frac{spirit}{varnish}=\frac{25}{75}[/tex]
[tex]=\frac{1}{3}[/tex]
Thus, The required ratio of spirit to varnish is 1:3.
(2) If you use 240ml of varnish, then this quantity is 75% of the total solution or ration of varnish to the total solution will be 3:4.
Let [tex]x[/tex] be the quantity of total solution.
Then, [tex]240:x=3:4[/tex].
⇒[tex]\frac{240}{x}=\frac{3}{4}[/tex]
⇒[tex]3x=240*4[/tex]
⇒[tex]x=\frac{240*4}{3}[/tex]
⇒[tex]x=320[/tex]
That is, total solution is 320 ml.
Now, Spirit = Total solution - Varnish
⇒Spirit = 320ml-240ml
⇒Spirit = 80ml
Hence, if you use 240 ml of varnish, you need 80 ml of mineral spirit.
(3) Robison's tapestries all measure 1.5m long and 1m wide. First, we express dimensions in whole numbers by multiplying them by 10.
Then, dimensions are 15m long and 10m wide.
Now, Height : Width = 15:10
⇒[tex]\frac{Height}{Width} =\frac{15}{10}[/tex]
⇒[tex]\frac{Height}{Width} =\frac{3}{2}[/tex]
Hence, the ratio of tapestries' heights to width is 3:2.
area of a triangle is 14x^5 + 63x^2. If the base is 7x^2, write an expression to represent the height ( x^2 means x square)
Answer:
[tex]h=4x^3+18[/tex]
Step-by-step explanation:
Given that,
The area of a triangle, [tex]A=14x^5 + 63x^2[/tex]
Base, [tex]b=7x^2[/tex]
We need to find the height of the triangle.
The formula for the area of the triangle is given by :
[tex]A=\dfrac{1}{2}\times b\times h\\\\\text{h is height}\\\\h=\dfrac{2A}{b}\\\\h=\dfrac{2\times (14x^5 + 63x^2)}{7x^2}\\\\h=\dfrac{2\times 7x^2(2x^3 + 9)}{7x^2}\\\\h=2(2x^3+9)\\\\=4x^3+18[/tex]
So, the height of the triangle is [tex]4x^3+18[/tex].
The diameter of a circle is 32 inches. What is the circle's circumference?
Answer:
32[tex]\pi[/tex]
Step-by-step explanation:
if diameter 32 then radius 16
circumference formula 2*[tex]\pi[/tex]*radius
32[tex]\pi[/tex]
Find the missing angles
Answer:
y=55
x=70
Step-by-step explanation:
In art class, David painted an image of a bowl of fruit. For the oranges, he mixed 2 ounces of
white paint and 4 ounces of orange paint. For the peaches, he mixed 3 ounces of white paint
and 5 ounces of orange paint. Which type of fruit was a lighter shade of orange?
Answer: the peaches were a lighter shade of orange
please simlify this : 3(3×10⁸)²
its urgent please
Answer:
3(3×10⁸)²
3(9×10¹⁶)
27×10¹⁶
HELP ME PLEASE I REALLY NEED HELP!!!!
Answer:
x = 5
Step-by-step explanation:
[tex]\frac{x}{2x - 3} = \frac{10}{14}[/tex] --> Triangle Proportionality Theorem
10(2x - 3) = 14(x) --> Cross Multiplying
20x - 30 = 14x --> Distributing 10 and 14 to the parentheses
20x -30 - 14x + 30 = 14x - 14x + 30 --> Subtracting 14x and adding 30 on both sides
6x = 30 --> Simplifying
6x/6 = 30/6 --> Dividing 6 on both sides
x = 5 --> Simplifying
Hope this helped!
By the way, I'm not so sure you understand the concept of "Triangle Proportionality Theorem" since you asked a similar one before that. So I'll post an image that I found on the internet that explains it. :D
3m + n = 71
2m - n = 30
Answer:
m = 20.2; n = 10.4
Step-by-step explanation:
[tex]\left \bigg \{ { \big {3m + n = 71} \atop \big {2m - n = 30}} \right.; => \left \bigg \{ { \big {3m + n -3m= 71-3m} \atop \big {2m - n-2m = 30-2m}} \right.; => \left \bigg \{ { \big { n = 71-3m} \atop \big { - n = 30-2m}} \right. ; => \\\\=> \left \bigg \{ { \big { n = 71-3m} \atop \big { - n \times (-1) = (30-2m)\times (-1)}} \right.; =>\left \bigg \{ { \big { n = 71-3m} \atop \big { n = -30+2m}} \right..[/tex]
-30 + 2m = 71 - 3m
-30 + 2m + 30 = 71 - 3m + 30
2m = 101 - 3m
2m + 3m = 101 - 3m + 3m
5m = 101
5m ÷ 5 = 101 ÷ 5
m = 20.2
n = 71 - 3m = 71 - 3 × 20.2 = 10.4
PLS HELP I HAVE 10 MINUTES LEFT
Answer:
the first one and the last one
Step-by-step explanation:
trust me
the first term of a sequence is 13 you take away 5 find out the 4th term
Answer:
a4 = -2
Step-by-step explanation:
a2 = 13 -5 = 8
a3 = 8 -5 = 3
a4 = 3 -5 = -2
can someone please help me.
Answer:
Step-by-step explanation:
1. isosceles
2. right scalene
3. obtuse scalene
4. equilateral
5. right isosceles
6. acute scalene
7. equilateral
8. isosceles
What percentage of the shape is orange?
Write your answer using a percent sign (%).
(help!) almost done!! I will mark who ever awnser s first as brainliest!
Answer:
40%
Step-by-step explanation:
There are five pieces of a square. Two of the five pieces are shaded in orange, since each piece is 20% and there are two shaded pieces, it is your best bet that your final answer is 40%.
Answer:
40%
Step-by-step explanation:
Since there are only two boxes filled, the fraction would be 2/5. Now, by applying that knowledge, you can see that the bow is filled 40% of the way with orange. An easy way to figue this out would be to divide 2 by 5 and get the decimal of .4 which as a percentage would be 40%. Hope this helped!
HELP ME PLEASE!!!!!!
In the figure, x | y and a is a transversal that crosses the
parallel lines.
a
Which angle pair forms alternate exterior angles?
O 24 and 26
O 22 and 28
O 23 and 25
o 22 and 26
Answer:the answer is b
Step-by-step explanation:
Use cubic regression to find a
function that fits the following
points.
(1,-9), (2,-15), (3,-29),(-1,3)
The cubic regression equation that fits the points (1,-9), (2,-15), (3,-29),(-1,3) is given as follows:
f(x) = -x³ + 2x² - 5x - 5.
How to find the equation of regression using a calculator?To find the equation, we need to insert the points (x,y) in the calculator.
In this problem, we have that:
The values of x are: 1, 2, 3, -1.The values of y are: -9, -15, -29, 3.Using the calculator, the equation is given by:
f(x) = -x³ + 2x² - 5x - 5.
More can be learned about regression equations at https://brainly.com/question/16793283
#SPJ1
pls help , u dont have to explain that much
I don’t think this is right I need help?
Answer:
1 and 2
Step-by-step explanation:
If x is 1: 2 x 1 + 7 = 2 + 7
= 9 This works.
If x is 2: 2 x 2 + 7 = 4 + 7
= 11 This works
If x is 3: 2 x 3 + 7 = 6 + 7
= 13 This does not work since 2x + 7 has to be less than 13.
please help me please
9514 1404 393
Answer:
B (rate of change), D (y-intercept)
Step-by-step explanation:
a) The rate of change is found by solving for y. It is the x-coefficient:
4y = -x +12
y = -1/4x +3 . . . . divide by 4
The rate of change is -1/4.
__
b) The rate of change can be found using the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (10 -4)/(2 -(-2)) = 6/4 = 3/2
The rate of change is 3/2.
__
c) The rate of change can be found by counting grid squares. The line goes down 1 square for each square to the right. The rate of change is ...
m = rise/run = -1/1 = -1
The rate of change is -1.
__
d) The rate of change is 0.5, the amount paid per box.
__
Of the rates -1/4, 3/2, -1, 0.5, the largest rate of change is 3/2 in relationship B.
_____
a) The y-intercept is the constant in the slope-intercept form equation: +3.
__
b) The y-intercept can be found from the point-slope form equation using the slope we found.
y -4 = 3/2(x +2)
y = 3/2x +3 +4
y = 3/2x + 7
The y-intercept is 7.
__
c) The y-intercept is 4, where the line crosses the y-axis.
__
d) The y-intercept of a proportion is 0.
__
Of the y-intercepts 3, 7, 4, 0, the least y-intercept is 0, in relationship D.
The length of the rectangle is three meters less than twice the width. The perimeter is 36meters. What’s the demensions of the rectangle
Answer:
L= 11m
W= 7m
Step-by-step explanation:
Step one:
given data
Let the width W= x
Length = (2x-3)
P= 36 m
Required
The perimeter
P= 2L+2W
36= 2(2x-3)+ 2x
36= 4x-6+2x
collect like terms
36+6= 6x
42= 6x
divide both side by 6
x= 7
the width is 7 m
the length = 2x-3= 2*7-3= 14-3= 11 m
James made a bag of trail mix with 1/2 cup of almonds, 6/7 cup of dried pineapples, and 2/9 cup of pumpkin seeds.
About how much trail mix did James make?
Explain in 3-5 complete sentences how you used estimation to solve.
Answer:
Step-by-step explanation:
1/2 + 6/7 + 2/9 = 199/126
Answer:
2/14
Step-by-step explanation:
2/14
is this table linear or exponential what us the slope and what is the equation ?
Answer:
this table is exponential
Step-by-step explanation:
the way we can tell this is because we can find a common ratio of 4. we know this because linear tables have a common difference exponential tables have a common ratio. i found this answer by dividing 32,768 and 8,192
32,768/8,192 = 4
you can find a linear function by subtracting point 1 and point 2.
QUICK HELP!!!!!!!!!!!!!!!!
Answer:
Its C im pretty sure. Also loveee your pfp!
Can some one help me please
Answer:
B
Step-by-step explanation:
x+2+10 is 13 which is the beginning of the perimeter
D= -200t + 9000 what is the answer to this question
Answer:
domain t = (-∞,∞)
range D = (-∞,∞)
Step-by-step explanation:
domain t = (-∞,∞)
range D = (-∞,∞)
Order from greatest to least
.03 .0 .32. 07 .7
Answer: .7, .32, .07, .03, .0
Step-by-step explanation:
What is the expanded form of 10.63?
Answer:
10+0.60+0.03
Step-by-step explanation:
simple
Hey there!
Note; When you see the phrase “expanded form” think of the SUM (addition) formation of a given which writes as it is added with the given which makes it an single value when it is multiplied by the place value
Now that we have that note/fact out of the way we have answer your question!
Answer: 10 + 0 + 0.6 + 0.03 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
200 divided by 60 for example there are 200 milk cartens each one has 60 milk containers how many milk containers exactly are in the cartens
Answer:
12,000 containers
Step-by-step explanation:
Given : 200 milk cartens are there
60 milk cantainers are there in each cartens.
to find are there in all
200 × 60 = 12,000 containers in all
Please Help, and say where u got your answer from?
How does Washington’s request foreshadow a power shift within the American colonies?
Answer:
Having done everything in his power to secure American independence, Washington decided to retire “from all public employments” after the war. He found true peace back at Mount Vernon and was happy to “move gently down the stream of life until I sleep with my fathers.” Washington’s joyful retirement was interrupted in 1787 when his country called on him again.
Step-by-step explanation:
If the circumference of a circle measures 3pi. cm, what is the area of the circle in terms of pi.
Answer:
the circumference equation is 2pi r and the circumference for this problem is 3pi so that would mean that the radius is 1.5
with that info, we can find out the area of the circle which is pi r squared.
1.5*1.5=2.25
AREA=2.25pi
Karen purchased a DVD player on sale. The original selling price was $171.50. The sale price was $149.37.
NEED HELP!!! I’ll report if your putting random answers down
Answer:
First blank: 8
Second Blank: 16
Third Blank: 56
Step-by-step explanation: Hope I helped